Frequency-weighted ℋ2-optimal model order reduction via oblique projection. Issue 1 (2nd January 2022)

• Record Type: Journal Article
• Authors: Zulfiqar, Umair; Sreeram, Victor; Ahmad, Mian Ilyas; Du, Xin
• Is Part Of: International journal of systems science. Volume 53:Issue 1(2022)
• Page Start: 182
• Page End: 198
• Publication Date: 2022-01-02
• Subjects: H2-optimal -- frequency-weighted -- model order reduction -- nearly optimal -- projection -- suboptimal; System analysis -- Periodicals; 003.3
• DOI: 10.1080/00207721.2021.1943561
• Languages: English
• ISSNs: 0020-7721

Abstract

Abstract : In projection-based model order reduction, a reduced-order approximation of the original full-order system is obtained by projecting it onto a reduced subspace that contains its dominant characteristics. The problem of frequency-weighted H 2 -optimal model order reduction is to construct a local optimum in terms of the H 2 -norm of the weighted error transfer function. In this paper, a projection-based model order reduction algorithm is proposed that constructs a reduced-order model, which nearly satisfies the first-order optimality conditions for the frequency-weighted H 2 -optimal model order reduction problem. It is shown that as the order of the reduced model is increased, the deviation in the satisfaction of the optimality conditions reduces further. Numerical methods are also discussed that improve the computational efficiency of the proposed algorithm. Four numerical examples are presented to demonstrate the efficacy of the proposed algorithm.